[3] Given: u = -81 + 6j v = 1-3 w = 41 - 8j T= -101 Point Pat (-7, -2), point at (-9, 11), and point Rat (8.-15) Five of the following six parts are each worth 3 points. Part b is worth 5 points. a) Find the position vector, in x + yj form, for the vector whose initial point is R and whose terminal point is g. b) Sketch the position vector determined by point P, and...
[3] Given: u = -81 +6j vi- j = -101 Point Pat (-17, -v2), point 9 at (-9, 11), and point Rat (8.-15) Five of the following six parts are each worth 3 points. Part b is worth 5 points. a) Find the position vector, in x + yj form, for the vector whose initial point is R and whose terminal point is g. b) Sketch the position vector determined by point P, and then find its magnitude and direction....
Let u = 4i-6 j and v=−8i+4j. Find u−v.
37 Let u=8i - 8j, and w=-i-2j. Find ||w-ul. w-ul=1 (Type an exact answer, using radicals as needed.) Let u=8i - 8j, and w=-i-2j. Find ||w-ul. ||w-ul=1 (Type an exact answer, using radicals as needed.)
8. If ü= 8i - 15j and = -31 - 4; and w = 121 + 6j, then find the following: A. 2w - 3ü B. ||2u - 501 C. J. D. the angle between ü and v E. the direction angle of vector w F. (3x + 70). a vector in the same direction as u with magnitude of 12 a vector orthogonal to vector V with magnitude of 7 any vector that is orthogonal to the vector w...
Let u=8i - 8j, and w=-i-2j. Find ||w-ul. w-ul=1 (Type an exact answer, using radicals as needed.)
14. The vector v has initial point P and terminal point Q. Writev in the form ai + bj, that is, find its position vector. P = (3,6); Q=(-1,-2) A) v = 4i +8j B) v = 8i + 4; C) v = -8i - 4j D) v=4i-8j Fill in the blanks 15. Convert the angle in degrees to radians. Express the answer as multiple of T. 154 16. Convert the angle in radians to degrees 37 17. If A...
Use the given vectors to find u. (v + w). u = -21 - 9j, v= - 21 + 8j, w = -5i + 5j A. - 35 B. - 103 C. -68 OD. 37 Find the unit vector that has the same direction as the vector v. v = 24i + 10j The unit vector that has the same direction as the vector v is . (Simplify your answer, including any radicals. Use integers or fractions for any nume
6-7. Given vectors U = -4i +12, V = 5i - 2j, W=-3i- 6. Find a) 30 - 5V._b) 2V - W'. 7. a) UW What can you tell from the result? b) angle between U and V (keep one digit after decimal. calculato
(1point) Let r = xi + yj + zk and a = 4i +4j + 2k. (a) Find VG a). (b) Let C be a path from the origin to the point with position vector ro - ai+bj +ck. Find Jc VG a) df (c) If I I roll = 10, what is the maximum possible value of IV(F. , dF2 (Be sure you can explain why your answer is correct.) maximum value of Jc VG.ã di (1point) Let r...